Engineering & Technical Tools
100% Client-Side 100% client-side mechanical engineering calculations.

Torque, Shaft Power & Shear Stress Calculator

Calculate torque (T = F · r), rotational power (kW & HP), and shaft torsional shear stress

Torque, Lever Arm & Rotational Horsepower

Computes moment of force ($\tau = F \cdot r \sin\theta$) and converts shaft rotational speed to Kilowatts and Horsepower

Mechanical Force & Engine Presets

Torque Lever Arm & Tangential Vector Decomposition

Pivot AxisRadius Arm r = 0.4 mF = 150 N (θ=90°)F_tangential = 150 Nτ = 60 N·m
Torque τ = F · r · sin(θ) = 150 N × 0.4 m × sin(90°) = 60 N·m (44.25 ft·lb)
Power P = (2π · N · τ) / 60 = (2π × 3000 × 60) / 60 = 18.85 kW (25.28 HP)
Torque (SI)
60 N·m
531 in·lb
Torque (Imperial)
44.25 ft·lb
Foot-pounds
Mechanical Power
25.28 HP
25.63 PS metric
Power in Kilowatts
18.85 kW
18849.6 Watts

About Torque, Shaft Power & Shear Stress Calculator

Calculate rotational moment of force (torque in N·m and lb-ft), transmitted mechanical power in Kilowatts and Horsepower, and torsional shear stress on solid drive shafts with Tresca/von Mises yield safety factors.

Key Capabilities & Features

  • Calculates torque from tangential force (N) and moment arm radius (m)
  • Simultaneous conversion between SI Newton-meters (N·m) and Imperial foot-pounds (lb-ft)
  • Transmitted mechanical power computation in Kilowatts (kW) and Horsepower (HP)
  • Calculates solid shaft torsional shear stress (τ = 16T / πd³)
  • Evaluates structural shaft integrity against material yield limits

How to Use Torque, Shaft Power & Shear Stress Calculator

1

Input Force & Radius

Specify the applied force in Newtons and lever arm length in meters.

2

Enter Rotational RPM

Set shaft operating speed in revolutions per minute.

3

Inspect Power & Shear Stress

Review output torque, horsepower rating, and shaft torsional safety factor.

Privacy & In-Browser Execution Guarantee

100% client-side mechanical engineering calculations.

Frequently Asked Questions

How is torque converted into mechanical power?

In SI units, Power (kW) = (Torque in N·m × RPM) / 9549. In Imperial units, Horsepower (HP) = (Torque in lb-ft × RPM) / 5252.

What causes drive shaft torsional failure?

When torsional shear stress τ = 16T / (π · d³) exceeds the material allowable shear limit (typically ~58% of tensile yield strength), the shaft experiences plastic deformation or fatigue shearing.